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Question

A police van moving on a highway with a speed of 30kmh1 fires a bullet at a thief’s car speeding away in the same direction with a speed of 192 kmh1. If the muzzle speed of the bullet is 150 ms1, with what speed does the bullet hit the thief's car? (Note: Obtainthat speed which is relevant for damaging the thief's car).

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Solution

Speed of the police van, vp = 30 km/h = 8.33 m/s
Muzzle speed of the bullet, vb = 150 m/s
Speed of the thief's car, vt = 192 km/h = 53.33 m/s
Since the bullet is fired from a moving van, its resultant speed can be obtained as:
= 150 + 8.33 = 158.33 m/s
Since both the vehicles are moving in the same direction, the velocity with which the bullet hits the thief's car can be obtained as:
vbt=vbvt = 158.33 – 53.33 = 105 m/s


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